Determine reasonableness of solutions quick check
To determine the reasonableness of solutions, you need to examine whether the solution satisfies the given conditions or constraints of the problem. You can do this by plugging the solution back into the original equation or problem and seeing if it makes sense in the context of the problem.
For example, if the problem asks you to find the number of apples in a bag and you get a solution of -5 apples, this solution would be unreasonable since you cannot have a negative number of apples.
Similarly, if the problem asks you to find the time it takes for a car to travel a certain distance and you get a solution of 100 hours, this solution would also be unreasonable since cars typically don't take that long to travel distances in the given context.
In summary, to determine the reasonableness of solutions, you need to consider the constraints and conditions of the problem and check if the solutions satisfy them.